6+3(2x-3)-3(4x+6)-10=

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Solution for 6+3(2x-3)-3(4x+6)-10= equation: 


Simplifying
6 + 3(2x + -3) + -3(4x + 6) + -10 = 0

Reorder the terms:
6 + 3(-3 + 2x) + -3(4x + 6) + -10 = 0
6 + (-3 * 3 + 2x * 3) + -3(4x + 6) + -10 = 0
6 + (-9 + 6x) + -3(4x + 6) + -10 = 0

Reorder the terms:
6 + -9 + 6x + -3(6 + 4x) + -10 = 0
6 + -9 + 6x + (6 * -3 + 4x * -3) + -10 = 0
6 + -9 + 6x + (-18 + -12x) + -10 = 0

Reorder the terms:
6 + -9 + -18 + -10 + 6x + -12x = 0

Combine like terms: 6 + -9 = -3
-3 + -18 + -10 + 6x + -12x = 0

Combine like terms: -3 + -18 = -21
-21 + -10 + 6x + -12x = 0

Combine like terms: -21 + -10 = -31
-31 + 6x + -12x = 0

Combine like terms: 6x + -12x = -6x
-31 + -6x = 0

Solving
-31 + -6x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '31' to each side of the equation.
-31 + 31 + -6x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -6x = 0 + 31
-6x = 0 + 31

Combine like terms: 0 + 31 = 31
-6x = 31

Divide each side by '-6'.
x = -5.166666667

Simplifying
x = -5.166666667

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